An Erlang Loss Queue with Time-Phased Batch Arrivals as a Model for Traffic Control in Communication Networks

被引：2

作者：

Lee, Moon Ho ^{[2
]}

Dudin, Sergey A. ^{[1
]}

机构：

[1] Belarusian State Univ, Dept Appl Math & Comp Sci, Minsk 220030, BELARUS

[2] Chonbuk Natl Univ, Inst Informat & Commun, Chonju 561765, South Korea

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2008年 / 2008卷

关键词：

Queueing theory - Sales;

D O I：

10.1155/2008/814740

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

A multiserver queueing model that does not have a buffer but has batch arrival of customers is considered. In contrast to the standard batch arrival, in which the entire batch arrives at the system during a single epoch, we assume that the customers of a batch (flow) arrive individually in exponentially distributed times. The service time is exponentially distributed. Flows arrive according to a stationary Poisson arrival process. The flow size distribution is geometric. The number of flows that can be simultaneously admitted to the system is under control. The loss of any customer from an admitted flow, with a fixed probability, implies termination of the flow arrival. Analysis of the sojourn time and loss probability of an arbitrary flow is performed. Copyright (C) 2008 M. H. Lee and S. A. Dudin.

引用

页数：14

共 23 条

[1] Queueing model with time-phased batch arrivals
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MANAGING TRAFFIC PERFORMANCE IN CONVERGED NETWORKS, 2007, 4516 : 719 - +
[2] Retrial Queueing Model with Time-Phased Batch Arrivals
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[10] Real-time decentralized traffic signal control for congested urban networks considering queue spillbacks
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